Modified Traces and the Nakayama Functor
CC BY
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Springer
2023
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| Online Access: | https://link.springer.com/article/10.1007/s10468-021-10102-5 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7410 |
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oai:localhost:PNK-74102023-04-03T03:32:36Z Modified Traces and the Nakayama Functor Taiki, Shibata Kenichi, Shimizu Proj(M) Nakayama functor CC BY We organize the modified trace theory with the use of the Nakayama functor of finite abelian categories. For a linear right exact functor Σ on a finite abelian category M, we introduce the notion of a Σ-twisted trace on the class Proj(M) of projective objects of M. In our framework, there is a one-to-one correspondence between the set of Σ-twisted traces on Proj(M) and the set of natural transformations from Σ to the Nakayama functor of M. Non-degeneracy and compatibility with the module structure (when M is a module category over a finite tensor category) of a Σ-twisted trace can be written down in terms of the corresponding natural transformation. 2023-04-03T02:17:23Z 2023-04-03T02:17:23Z 2021 Book https://link.springer.com/article/10.1007/s10468-021-10102-5 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7410 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
Proj(M) Nakayama functor |
| spellingShingle |
Proj(M) Nakayama functor Taiki, Shibata Kenichi, Shimizu Modified Traces and the Nakayama Functor |
| description |
CC BY |
| format |
Book |
| author |
Taiki, Shibata Kenichi, Shimizu |
| author_facet |
Taiki, Shibata Kenichi, Shimizu |
| author_sort |
Taiki, Shibata |
| title |
Modified Traces and the Nakayama Functor |
| title_short |
Modified Traces and the Nakayama Functor |
| title_full |
Modified Traces and the Nakayama Functor |
| title_fullStr |
Modified Traces and the Nakayama Functor |
| title_full_unstemmed |
Modified Traces and the Nakayama Functor |
| title_sort |
modified traces and the nakayama functor |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s10468-021-10102-5 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7410 |
| _version_ |
1762184301177208832 |
| score |
8.891145 |